2022-01-11
Conformal elasticity of mechanism-based metamaterials
Publication
Publication
Nature Commun. , Volume 13 - Issue 1 p. 211: 1- 9
Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible metamaterials often contain an additional approximate symmetry due to the presence of a designer soft strain pathway. Here we show that low energy deformations of designer dilational metamaterials will be governed by a scalar field theory, conformal elasticity, in which the nonuniform, nonlinear deformations observed under generic loads correspond with the well-studied—conformal—maps. We validate this approach using experiments and finite element simulations and further show that such systems obey a holographic bulk-boundary principle, which enables an analytic method to predict and control nonuniform, nonlinear deformations. This work both presents a unique method of precise deformation control and demonstrates a general principle in which mechanisms can generate special classes of soft deformations.
| Additional Metadata | |
|---|---|
| , , , | |
| Springer Nature | |
| European Research Council (ERC) | |
| doi.org/10.1038/s41467-021-27825-0 | |
| Nature Commun. | |
| Organisation | Mechanical Metamaterials |
|
Czajkowski, M., Coulais, C., van Hecke, M., & Rocklin, Z. (2022). Conformal elasticity of mechanism-based metamaterials. Nature Commun., 13(1), 211: 1–9. doi:10.1038/s41467-021-27825-0 |
|
